Test Study on Strength and Permeability Properties of Lime-Fly Ash Loess under Freeze-Thaw Cycles

Similar documents
Experiment Study on Rheological Model of Soft Clay

Cementing Material on Mechanical Property of Calcareous Sand

INFLUENCE OF WATER-SOAKING TIME ON THE ACOUSTIC EMISSION CHARACTERISTICS AND SPATIAL FRACTAL DIMENSIONS OF COAL UNDER UNIAXIAL COMPRESSION

Effect of Displacement Loading Rate on Mechanical Properties of Sandstone

INTERNATIONAL JOURNAL OF CIVIL AND STRUCTURAL ENGINEERING Volume 1, No 4, 2011

Open Access Study on Reservoir-caprock Assemblage by Dual Logging Parameter Method

Study on Failure Plane of Bulk Solid in Squat Silos

Open Access An Experimental Study on Percolation Characteristics of a Single-Phase Gas in a Low-Permeability Volcanic Reservoir Under High Pressure

Unloading Phenomena Characteristics in Brittle Rock Masses by A Large- Scale Excavation in Dam Foundation

Schedule of Accreditation issued by United Kingdom Accreditation Service 2 Pine Trees, Chertsey Lane, Staines-upon-Thames, TW18 3HR, UK

Soil strength. the strength depends on the applied stress. water pressures are required

Stress and Wear Analysis of the Disc Cutter of Rock Tunnel Boring Machine

Cyclic Triaxial Behavior of an Unsaturated Silty Soil Subjected to Suction Changes

Pressuremeter test in permafrost on the Qinghai-Tibet plateau

Experimental Study on Durability and Mechanical Properties of Basalt Fiber Reinforced Concrete under Sodium Sulfate Erosion

DISCUSSION ON THE PROBLEM ABOUT SATURATED LOESS DYNAMIC PORE PRESSURE BY VIBRATION

SHEAR STRENGTH OF SOIL

Experimental Study of Basic Road Performance of Weathered Granite Soil

Effect of Plastic Fines on Liquefaction Characteristics of Gravelly Soil

Chapter 5 Shear Strength of Soil

Chapter (12) Instructor : Dr. Jehad Hamad

Theory of Shear Strength

Geology 229 Engineering Geology. Lecture 7. Rocks and Concrete as Engineering Material (West, Ch. 6)

Open Access Study on Creep Characteristics of Cemented Waste Rock Backfills

Simulation on the Temperature Drop Rule of Hot Oil Pipeline

Longdong Loess Mechanics Characteristics and Analysis based on Conventional Triaxial Test

SHEAR STRENGTH OF SOIL

A STUDY ON CHARACTERISTICS OF GROUND MOTION IN PERMAFROST SITES ALONG THE QINGHAI-TIBET RAILWAY

True Triaxial Tests and Strength Characteristics Study on Silty Sand Liang MA and Ping HU

Estimation of the Passive Earth Pressure with Inclined Cohesive Backfills: the Effect of Intermediate Principal Stress is Considered

Journal of Engineering Science and Technology Review 9 (3) (2016) Research Article

Basic Examination on Assessing Mechanical Properties of Concrete That Has Suffered Combined Deterioration from Fatigue and Frost Damage

LOESS LIQUEFACTION: FROM THE POINT VIEW OF MICROSTURCTURE

FROST HEAVE. GROUND FREEZING and FROST HEAVE

Following are the results of four drained direct shear tests on an overconsolidated clay: Diameter of specimen 50 mm Height of specimen 25 mm

Landslide FE Stability Analysis

8.1. What is meant by the shear strength of soils? Solution 8.1 Shear strength of a soil is its internal resistance to shearing stresses.

Experimental Study on the Ultrasonic Testing including Porosity of Rock Damage Characteristics

Analysis and Calculation of Double Circular Arc Gear Meshing Impact Model

Finite Element Analysis of Buckling of Corrugated Fiberboard

1.8 Unconfined Compression Test

Effect of Cementation on the Shear Strength of Tehran Gravelly Sand Using Triaxial Tests

Effects of Basalt Fibres on Mechanical Properties of Concrete

Effect of Frozen-thawed Procedures on Shear Strength and Shear Wave Velocity of Sands

Open Access Support Technique of Horse Head in Weakly Cemented Soft Rock

Unloading Test with Remolded Marine Soil Sample and Disturbance Degree Assessment

Open Access Prediction on Deflection of V-core Sandwich Panels in Weak Direction

Experimental Research on Ground Deformation of Double Close-spaced Tunnel Construction

Research Article Experimental Study of the Composition and Structure of Granular Media in the Shear Bands Based on the HHC-Granular Model

Numerical Simulation for Flow and Heat Transfer Characteristics of L- Type Chaotic Channel

Effect of Cementation on the Shear Strength of Tehran Gravelly Sand Using Triaxial Tests

Wikipedia.org BUILDING STONES. Chapter 4. Materials of Construction-Building Stones 1

Mechanistic Investigation of Granular Base and Subbase Materials A Saskatchewan Case Study

J. Paul Guyer, P.E., R.A.

INTERPRETATION OF UNDRAINED SHEAR STRENGTH OF UNSATURATED SOILS IN TERMS OF STRESS STATE VARIABLES

Feasibility analysis of loess slope improved by lime pile

Mechanical Properties of Methane Hydrate Interbedded with Clayey Sediments

RELIQUEFACTION POTENTIAL OF CEMENT-TREATED SANDY SOILS

Analysis of Load-Settlement Relationship for Unpaved Road Reinforced with Geogrid

Strength Analysis and Experiment of High Speed Railway Gearbox Bracket

Study on Rheological Properties of Mountains Area Coarse-- Grained Soil Embankment and Settlement Prediction Method

The Nonlinear Dynamic Behavior Analysis and Research for Sheet Steel Stamping Forming Problems Based on Finite Element Method

Theory of Shear Strength

STUDY OF PERFORMANCE OF GEOGRID AND SOIL INTERFACE USING VERTICAL PULLOUT TEST. Uttarakhand,

Triaxial Shear Test. o The most reliable method now available for determination of shear strength parameters.

(Refer Slide Time: 02:18)

Cone Penetration Testing in Geotechnical Practice

Engineering Properties of Soil-Fly Ash Subgrade Mixtures

Proceedings, International Snow Science Workshop, Breckenridge, Colorado, 2016

Table 3. Empirical Coefficients for BS 8002 equation. A (degrees) Rounded Sub-angular. 2 Angular. B (degrees) Uniform Moderate grading.

Soil Properties - II

On Compaction Characteristics and Particle Breakage of Soil-aggregate Mixture

The CPT in unsaturated soils

Modified Dry Mixing (MDM) a new possibility in Deep Mixing

Temperature Dependent Mechanical Properties of Reservoir s Overburden Rocks During SAGD Process

Study on High-Temperature Glass Lens Molding Process Using FEM Simulation

Mineral Compositions and Micro-Structural of Epoxy-Repaired Rock Revealed by X-ray Diffraction and Scanning Electron Microscopy

Analysis of soil failure modes using flume tests

Finite Element Analysis of a Cofferdam with Bucket Foundations at Zhuanghai Artificial Island

Research Article Experimental Investigation on Creep Deformation Behavior of Medium-strength Marble Rock

Geotechnical Properties of a Transparent Sand

Soil Mechanics. Chapter # 1. Prepared By Mr. Ashok Kumar Lecturer in Civil Engineering Gpes Meham Rohtak INTRODUCTION TO SOIL MECHANICS AND ITS TYPES

Dynamic Stability Analysis and Forecast of Surface Mine Dump

Laboratory Testing Total & Effective Stress Analysis

Table of Contents Chapter 1 Introduction to Geotechnical Engineering 1.1 Geotechnical Engineering 1.2 The Unique Nature of Soil and Rock Materials

Determination of Poisson s Ratio of Rock Material by Changing Axial Stress and Unloading Lateral Stress Test

Seismic Stability of Tailings Dams, an Overview

EFFECT OF CLAY PARTICLE CONTENT ON LIQUEFACTION OF SOIL

Open Access Experimental Research and Analysis of Vortex Excited Vibration Suppression of Spiral Stripe Strake

Journal of Engineering Science and Technology Review 10 (4) (2017) Research Article

Study on the Pressure and Temperature Distribution of Solid-Plug Conveying Element on Centrifugal Extruder

Study on High-Temperature Glass Lens Molding Process Using FEM Simulation

Thermal and hydraulic modelling of road tunnel joints

The Experimental Research of the Effect of Heating Temperature and Heating Time for Oil Shale Crack

Drained Against Undrained Behaviour of Sand

Advanced Numerical Study of the Effects of Road Foundations on Pavement Performance

Small strain behaviour of cemented soils

The Mine Geostress Testing Methods and Design

Finite Element Simulation of Strain Localization on a Shear Band of Structural Soil Hong-Ru LI, Yuan ZHONG, Hua-Pen ZHAO, Sheng-Hong AI

Experimental Analysis on Soil-Water Characteristic Curve of CH3COO - Contaminated Clay

Transcription:

Send Orders for Reprints to reprints@benthamscience.net 172 The Open Civil Engineering Journal, 214, 8, 172-176 Open Access Test Study on Strength and Permeability Properties of Lime-Fly Ash Loess under Freeze-Thaw Cycles Zhiquan Zhang 1 and Yufen Zhang 2,* 1 School of Civil Engineering, Chang an University, Xi an, P.R. China 7161 2 College of Architecture and Civil Engineering, North China University of Technology, Beijing, P.R. China, 1144 Abstract: In order to study the application of lime-fly ash loess in permafrost subgrade engineering, uniaxial compressive test, fast direct shearing test and permeability tests were carried out on lime-fly ash loess under different curing ages and freeze-thaw cycles. Uniaxial compressive strength of lime-fly ash loess increases slowly with the curing ages, and can reach 3.5 Mpa after the curing ages of 9 days (This strength is called 9d strength). 14d strength of lime-fly ash loess has already reached 5% of 9d strength; later strength including 28d strength and 9d strength is basically stable under different freeze-thaw cycles, so lime-fly ash loess has good water stability and freeze-thaw stability. Fast direct shear strength decreases with the number of freeze-thaw cycles without consideration of moisture content; the coefficient of permeability increases with the number of freeze-thaw cycles.all test data show that lime-fly ash loess with good behaviors can be applied in permafrost subgrade engineering. Keywords: 9d strength, freeze-thaw cycles, lime-fly ash loess, subgrade engineering, water-saturated. 1. INTRODUCTION Loess with special mechanical property, is widely distributed in China. Especially in highway construction of West China, it is inevitable to encounter the problem of loess soil. Lime is a very cheap material and widely used to stabilize the loess, and this method has been used for more than thousand years. Recently, many scholars have studied the mechanism of stabilizing soil and the micro-reaction mechanism between lime and soil [1, 2], and some important achievements have been obtained. Some works were also done with the strength increasing process and discipline of loess or clay [3-5]. Feng (28) has carried out shearing test to study the strength characteristics of fine particle soils under the effect of freeze-thaw cycles [6], and found that the strength of lime soil decreased obviously under freeze-thaw cycles. However, there are few studies on lime-fly ash loess about water stability, freeze-thaw stability and permeability. Lime-fly ash loess can be used in road engineering in permafrost regions and seasonal permafrost zone, so the strength and deformation properties of lime-fly ash loess due to repeated freezing and melting can influence the life of the project under freeze-thaw cycles. In this paper, uniaxial compressive test, fast direct shearing test and permeability test were carried out on lime-fly ash loess under different curing ages and freeze-thaw cycles; the analysis focused on the strength characteristics and permeability of lime-fly ash loess. *Address correspondence to this author at the College of Architecture and Civil Engineering, North China University of Technology, Beijing, P.R. China, 1144; Tel: 86-13522998929; Fax: 86-1-888394; E-mails: zzqca@163.com and yufenzh@gmail.com 2. TEST MATERIALS AND TEST METHODS 2.1. Test Materials Test soil was taken from Highway Liu Zhong in China. Its main physical properties index is: soil proportion 2.713, plasticity index 11.2, liquid limit 29.2%, and plastic limit 18%; particles larger than.5 mm account for 15%, particles between.5 mm to.5 mm account for 66%, and particles smaller than.5 mm account for 19%. The physical properties of fly ash are as follows: apparent density 2.17 g/cm 3, maximum dry density 1.15g/cm 3, optimum moisture content 34.5%. Main chemical composition is: SiO 2 61.2%, Al 2 O 3 22.5%, Fe 2 O 35%, CaO.7%. The lime in the tests was digestion lime with strong dry activity. 2.2. Test Methods Ratio and dry density, moisture content and other parameters were referenced from the foregoing test results about strength characteristics of lime-fly ash loess [7], the volume ratio of lime, fly ash and loess is 1:2:7. The specimens were made with maximum dry density 1.57 g/cm 3, optimum water content 23.5%,and compaction degree 97%. Specimens were made into cylinder with the size of Φ4 mm 1 mm. There were three specimens in each group, and averaged result was taken. All the tests were performed according to the experiment specification of highway soil (JTG E4-27) [8]. Uniaxial compressive strength tests adopted watersaturated lime-fly ash loess to simulate the road sub-base. The lime-fly ash loess can suck groundwater due to the negative pore water pressure, and water content will decrease through transpiration and evaporation, so moisture ratio 1874-1495/14 214 Bentham Open

Strength Decrease % Strength Decrease % Strength (kpa) Test Study on Strength and Permeability Properties of Lime-Fly Ash Loess The Open Civil Engineering Journal, 214, Volume 8 173 continuously changes. In order to simulate this process, permeable rocks were placed at both ends of the specimen, and the specimen wrapped with rubber membrane was put in a laboratory sink. Water level was 5 cm above the top surface of the permeable rock. Then the specimen can suck water through the permeable rock because of the negative pore water pressure. This water-saturated process lasted for 48 hours. According to the achievement of Viklander [9], soil s strength was going to be stable after 3~5 freeze-thaw cycles. So the test adopted six freeze-thaw cycles maximum. Freeze-thaw cycles can simulate the natural temperature decrease from autumn to winter gradually, and the soil temperature was also gradually decreased from the upper portion to the bottom. Therefore, temperature fields were added at the top surface and the bottom surface of the specimen to decline the temperature. There was temperature difference 5 between the top and the bottom. Temperature change rate was set to 4 / h, from +15 to -5, then back to +15, one cycle lasted 1 hours. 4 3 2 1 Fig. (1). Uniaxial compressive strength trend lines. 15 1 not Water-Saturated Water-Saturated 3 6 9 3. TEST RESULTS 3.1. Uniaxial Compressive Strength Test The results of uniaxial compressive strength tests of water-saturated lime-fly ash loess are shown in Figs. (1 and 2). As can be seen from Fig. (1), uniaxial compressive strength of lime-fly ash loess increases with the curing ages, especially before 14 days. 14d strength increases quickly and can reach nearly 5% of the 9d strength. Fig. (2) shows the strength decrease of non-water-saturated lime-fly ash loess compared to not water-saturated specimens. Saturated water will reduce the uniaxial compressive strength of lime-fly ash loess especially for the earlier strength, such as 13% decreased for 7d strength and 8.6% decreased for 14d strength. However, there are no evident strength decrease for later strength including 28d strength and 9d strength, such as 3.2% decreased for 28d strength and only 1.6% decreased for 9d strength. Strength was decreased by 2.4% on average for the later strength. The phenomena are due to ion exchange, hydration and carbonation effect among fly ash, lime and soil. During the process of saturated water, these three reactions are weakened, making a long strength formation process, so there is certain water-hardening characteristic in lime-fly ash loess. Over the curing time, the cementation reaction lime-fly ash loess becomes more fully, then water, ions, and air cannot enter into the dense soil particles, so the strength decrease starts to be smaller and smaller. The average value of 7d strength, 14d strength and 28d strength of water-saturated lime-fly ash loess was only reduced by 7.3%, while 25% reduced for water-saturated cement-lime soil according to the research on the stability of cement-lime soil [1]. Therefore, lime-fly ash has better water stability under normal curing condition. The uniaxial compressive tests were conducted on limefly ash loess under different freeze-thaw cycles. All the test data were compared to the specimens under normal condition without freeze-thaw condition. Strength decrease of lime-fly ash loess after different freeze-thaw cycles is shown in Fig. (3). Strength decrease of water-saturated limefly ash loess after different freeze-thaw cycles is shown in Fig. (4). 4 3 2 1 Freeze-Thaw Cycle 2 Freeze-Thaw Cycles 3 Freeze-Thaw Cycles 4 Freeze-Thaw Cycles 5 Freeze-Thaw Cycles 6 Freeze-Thaw Cycles 5 1 3 6 9-1 3 6 9 Fig. (2). Strength decrease after water-saturated. Fig. (3). Strength decrease of lime-fly ash loess.

Strength Decrease % Cohesive Force (kpa) Shear Strength (kpa) Strength Decrease % 174 The Open Civil Engineering Journal, 214, Volume 8 Zhang and Zhang It can be seen from Fig. (3) that freeze-thaw cycles have great impact on earlier uniaxial compressive strength including 7d strength and 14d strength. Average strength has been reduced by 19%. However, there are basically no effects on the later strength including 28d strength and 9d strength with only 2% reduction on average. It can be seen from Fig. (4) that freeze-thaw cycles have greater impact on uniaxial compressive strength of water-saturated lime-fly ash loess. Average earlier strength has already reduced by 47.9%, and the later strength still reduced by 14.6%. Especially after 5 and 6 freeze-thaw cycles, strength decrease becomes larger and larger for water-saturated lime-fly ash loess. The reason is that strength of lime-fly ash loess is formed by a long-term reaction process. Cold-contraction produced by temperature decreases results in the initial gel in tension, then many tiny cracks can greatly reduce the tensile strength of lime-fly ash loess before 28 days because there is a strength weakened zone; while less cracks occur when lime-fly ash loess after 28 days endure several freeze-thaw cycles. In case of watersaturated lime-fly ash loess, volume expansion by frozen water results in the improved permeability of the specimen, especially for lime-fly ash loess before 28 days. More test data about strength decrease within 4 freeze-thaw cycles are shown in Fig. (5). The average decrease has reached by 41.9% for earlier strength and 7.5% for later strength. All these analyses show that lime-fly ash loess compared to the other cement-lime soil or clays, has better freeze-thaw stability. 3.2. Direct Shear Test after 6 freeze-thaw cycles is reduced by 21%. However, the cohesion was changed with the freeze-thaw cycles irregularly shown in Fig. (7). Because the cohesion is the linear fit to empirical value according to three different 6 4 2 3 6 9 Fig. (5). Strength decrease of water-saturated lime-fly ash loess within 4 freeze-thaw cycles. 7 6 Fast direct shear tests were conducted on lime-fly ash loess with the optimum water content less than 9 days curing, ignoring the differences among moistures. The specimens experienced -6 freeze-thaw cycles, and the corresponding normal stress is 4 kpa. The shear stress, cohesion, and internal friction angle are shown in Figs. (6-8) respectively. As can be seen from Fig. (6), 9d shear strength decreases continuously with freeze-thaw cycles. Shear stress 5 4 1 2 3 4 5 6 8 6 4 1 Freeze-Thaw Cycle 2 Freeze-Thaw Cycles 3 Freeze-Thaw Cycles 4 Freeze-Thaw Cycles 5 Freeze-Thaw Cycles 6 Freeze-Thaw Cycles Fig. (6). Shear strength under freeze-thaw cycles. 2 15 2 1 3 6 9 5 1 2 3 4 5 6 Fig. (4). Strength decrease of water-saturated lime-fly ash loess. Fig. (7). Cohesion under freeze-thaw cycles.

Internal Friction Angle ( ) Permeability Coefficient (1-6 cm s -1 ) Test Study on Strength and Permeability Properties of Lime-Fly Ash Loess The Open Civil Engineering Journal, 214, Volume 8 175 55 6 5 45 5 4 4 35 normal stresses, it is difficult to get the actual value due to the relative error. As can be seen from Fig. (8), internal friction angle is decreased by 22% rapidly after 2 freezethaw cycles, and then its value is almost stable in the following freeze-thaw cycles, still 2% after 6 freeze-thaw cycles. Therefore, freeze-thaw cycles have great influence on internal friction angle because crack in lime-fly ash loess makes strength decrease. 3.3. Permeability Test Permeability tests were conducted on lime-fly ash loess after 9 days under 1-6 freeze-thaw cycles, and the result is shown in Fig. (9). As can be seen from Fig. (9), permeability coefficient of lime-fly ash loess increases with freeze-thaw cycles in general. Permeability coefficient after 1 cycle is 3.5 1-6 cm s -1, and it is increased by 5% after six freezethaw cycles. The reason is that volume expansion by frozen water can produce some tiny cracks. These tiny cracks will multiply with the increase of freeze-thaw cycles,resulting in improvement of penetration performance. 4. CONCLUSION 1 2 3 4 5 6 Fig. (8). Internal friction angle under freeze-thaw cycles. 1). Uniaxial compressive strength of lime-fly ash loess increases with curing ages, 9d strength can reach 3.5 MPa. And the strength of water-saturated lime-fly ash loess decreases obviously especially before 28 days, while later strength is only reduced by 2%. Therefore, lime-fly ash loess has good water stability. 2). All uniaxial compressive strength of lime-fly ash loess decreases with different curing age and freeze-thaw cycles, 25% decreased for earlier strength and 15% decreased on average. In case of water-saturated lime-fly ash loess, freeze-thaw cycles have greater impact on uniaxial compressive strength. Average earlier strength has already reduced by 47.9%, and the later strength still reduced by 14.6%. Compared to the other cement-lime soil or clays, lime-fly ash loess has better freeze-thaw stability especially after 9 days. 9d strength is stable under different freeze-thaw cycles. 3). Shear stress and friction angle of lime-fly ash loess after 9 days decrease with freeze-thaw cycles, while 3 Fig. (9). Permeability coefficient under freeze-thaw cycles. permeability coefficient increases with freeze-thaw cycles, so freeze-thaw cycles have a great impact on microstructures of lime-fly ash loess. CONFLICT OF INTEREST The authors have no conflict of interest to declare in relation to the content of this article. ACKNOWLEDGMENTS The writers would like to gratefully acknowledge the financial support provided by the Beijing Innovation Platform of Scientific research base construction, China. REFERENCES 1 2 3 4 5 6 Cycle Times [1] X.B. Tu, A.K.L. Kwong, F.C. Dai, L. Tham, and G.H. Min, Field monitoring of rainfall infiltration in a loess slope and analysis of failure mechanism of rainfall-induced landslides," J. Eng. Geo., vol. 15, pp. 134-15, Feb. 29. [2] Y.F. Zhang, and Z.Q. Zhang, Influence factor analysis on strength of lime-fly ash loess, Engineering, vol. 5, no. 6, pp. 561-565, June 213. [3] T.T. Zhang, B.P. Zhang, Z.G. Tian, and D.H. Lv, Study on engineering characteristic of lime-fly ash loess, Chinese J. Geotech. Eng., vol. 26, no. 5, pp. 719-721, May 24. (in Chinese) [4] E. Ovando-Shelley, and B.E. Perez, Undrained behavior of clayey sands in load controlled triaxial tests, Geotechnique, vol. 47, no. 1, pp. 97-111, Jan. 1997. [5] Y.H. Yang, B. Liang, and L. Ding, Experimental study on the strength behaviors of fly ash-lime or fly ash-cement. Chinese J. Geotech. Eng., vol. 23, no. 2, pp. 227-23, Feb. 21. (in Chinese) [6] Y. Feng, J. X. He, L. Liu, L. X. Yang, Experimental study of the shear strength characteristics of fine-grained soil under freezing and thawing cycles, J. Glaciol. Geocryol. vol. 3, no. 6, pp. 113-117, June 28. (in Chinese) [7] Z.Q. Zhang, J. Shi, and P.Y. Zhang, Research on strength characteristics of lime-fly loess. Sichuan Build. Sci. vol. 32, no.5, pp. 126-128, May 26. (in Chinese) [8] Test method of soils for highway engineering, JTG E4-27. the Ministry of Communications, China.

176 The Open Civil Engineering Journal, 214, Volume 8 Zhang and Zhang [9] P. Viklander, Permeability and volume changes in till due to cyclic freeze-thaw. Can. Geotech. J., vol. 35, no. 3, pp. 471-477, Mar. 1998. [1] J.L. Qi, J.M. Zhang, and Y.L. Zhu, Influence of freezing-thawing on soil structure and its soil mechanics significance. Chinese J. Rock Mech. Eng., vol. 22, pp. 269-2694, Dec. 23. (in Chinese) Received: January 24, 214 Revised: February 17, 214 Accepted: March 12, 214 Zhang and Zhang; Licensee Bentham Open. This is an open access article licensed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/ by-nc/3./) which permits unrestricted, non-commercial use, distribution and reproduction in any medium, provided the work is properly cited.